Proposition 2 (Centered (\(T^f_C\) ) and Mixed Centered (\(T^f_M\) ) Inclusion Functions) [1]}
Let \(f\triangleq [f_1,\dots , f_{n_x}]^\top :{\color {black} \mathcal {Z} \subset \mathbb {R}^{n_z}} \rightarrow \mathbb {R}^{n_x}\)  be differentiable over the  interval \({\color {black} \mathbb {I}}\mathcal {Z} \triangleq [\underline{z},\overline{z}] \in \mathbb {IR}^{n_z}\) . Then, the interval function
\(T^f_C({\color {black} \mathbb {I}}\mathcal {Z})\triangleq f(m)+{\color {black} \mathbb {I}\mathbf {J}^f_{\mathbb {I}\mathcal {Z}}}({\color {black} \mathbb {I}}\mathcal {Z}-m),\) 
